Finster, Felix and Kamran, N. and Smoller, J. and Yau, S. -T. (2006) Decay of solutions of the wave equation in the Kerr geometry. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 264 (2). pp. 465-503. ISSN 0010-3616,
Full text not available from this repository. (Request a copy)Abstract
We consider the Cauchy problem for the massless scalar wave equation in the Kerr geometry for smooth initial data compactly supported outside the event horizon. We prove that the solutions decay in time in L-loc(infinity). The proof is based on a representation of the solution as an infinite sum over the angular momentum modes, each of which is an integral of the energy variable omega on the real line. This integral representation involves solutions of the radial and angular ODEs which arise in the separation of variables.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BLACK-HOLE; STABILITY; PERTURBATIONS; SCHWARZSCHILD; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Feb 2021 06:37 |
| Last Modified: | 15 Feb 2021 06:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/34472 |
Actions (login required)
 |
View Item |
